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Dafna1 [17]
2 years ago
7

Nathan launches a water balloon vertically from a platform on his roof. The height of the balloon (in feet) is represented by th

e equation h=−16t2+28.7t+32.4, where t is the time (in seconds) after he launches the water balloon. What is the maximum height of the balloon?
Mathematics
1 answer:
bulgar [2K]2 years ago
7 0

Answer:

45.27feet

Step-by-step explanation:

Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)

Note that the velocity of the balloon at maximum height is zero, hence;

v = dh/dt =0

-32t+28.7 = 0

-32t = -28.7

t = 28.7/32

t = 0.897secs

Get the maximum height

Recall that h=−16t²+28.7t+32.4

h = -16(0.897)²+28.7(0.897)+32.4

h= -12.87+25.74+32.4

h = 45.27feet

Hence the maximum height reached is 45.27feet

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Answer:

Y = 2

X = 3

Step-by-step explanation:

Substitution:

6(4y-5) - y = 16

24y-30-y=16

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2 years ago
On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the
Daniel [21]

Answer:

hello your question is incomplete attached below is the complete question

answer :

H0 : <em> u </em>= 21.62    ( Null hypothesis )

H1 : <em> u</em> = 21.62   ( alternative hypothesis )

Step-by-step explanation:

Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62

H0 : <em> u </em>= 21.62    ( Null hypothesis )

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3 0
3 years ago
Suppose at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard. Also, 30% of the
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Answer:

0.6,0.7,0.3 neither disjoint nor independent.

Step-by-step explanation:

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A= visa card

B = Master card

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i.e. P(AUB) = 0.70

Or P(A)+P(B)-P(AB) =0.70

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1) the probability that this student does not have a MasterCard.

= P(B') = 1-0.4 =0.6

2.  the probability that this student has either a Visa card or a MasterCard.

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3. Calculate the probability that this student has neither a Visa card nor a MasterCard.

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4. Are the events A and B disjoint? Are the events A and B independent?

A and B have common prob 0.30 hence not disjoint.

P(AB) ≠P(A)P(B)

Hence not independent

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